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Finding the Fourth Proportional to 11,138.76, 15,366.56 and 6,660.24

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Solution

The fourth proportional to 11,138.76, 15,366.56 and 6,660.24 is: 9,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.76 : 15,366.56 = 6,660.24 : x
  2. Step 2: Convert to fraction form
    11,138.76/15,366.56 = 6,660.24/x
  3. Step 3: Cross multiply
    11,138.76x = 15,366.56 × 6,660.24
  4. Step 4: Simplify right side
    11,138.76x = 102,344,977.57
  5. Step 5: Solve for x
    x = 102,344,977.57/11,138.76
  6. Step 6: Final answer
    x = 9,188.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.